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£1 = €1.16. Change €50 to pounds.

Step by step, with the reason for every step · Exchange rates · Foundations

Step by step

The question

Question: change €50 to pounds, when £1 = €1.16.

£1 = €1.16. Change €50 to pounds.

1 Write the rate

The rate says: 1 pound is worth 1.16 euros.

£1 = €1.16

From pounds to euros, we multiply by 1.16.

Going back, we divide by 1.16.

pounds → euros: × 1.16
euros → pounds: ÷ 1.16

2 Divide by the rate

Each £1 gives €1.16.

So we find how many €1.16 fit in €50: we divide by 1.16.

€50 = £ 501.16

Careful!

From euros back to pounds goes the other way.

We divide, not multiply.

Careful: not 50 × 1.16 = 58 ✗

50 divided by 1.16 is about £43.10.

≈ £43.10

To divide by 1.16, we move the point in both numbers 2 places: 5000 divided by 116.

Money goes to the cent.

50 ÷ 1.16 = 5000 ÷ 116 ≈ 43.1

So €50 is about £43.10.

3 Check

Let's check: change the answer back.

£43.10 times 1.16 is about €50.

change it back: £43.10 × 1.16 ≈ 50

That is what we started with.

So the answer is right!

€50 — what we started with

Let's look back.

First: write the rate.

Then: divide by the rate.

Last: check.

Answer
50 ÷ 1.16 = 5000 ÷ 116 ≈ 43.1

Your turn

Try this one yourself, then check:

£1 = €1.20. Change €72 to pounds.
Show the answer
€72 = £60

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